85693345 has 8 divisors (see below), whose sum is σ = 108881064. Its totient is φ = 64521984.

The previous prime is 85693303. The next prime is 85693357. The reversal of 85693345 is 54339658.

It can be written as a sum of positive squares in 4 ways, for example, as 31169889 + 54523456 = 5583^2 + 7384^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85693345 - 2¹⁷ = 85562273 is a prime.

It is a super-4 number, since 4×85693345⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503994 + ... + 504163.

It is an arithmetic number, because the mean of its divisors is an integer number (13610133).

Almost surely, 2^85693345 is an apocalyptic number.

85693345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85693345 is a deficient number, since it is larger than the sum of its proper divisors (23187719).

85693345 is a wasteful number, since it uses less digits than its factorization.

85693345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008179.

The product of its digits is 388800, while the sum is 43.

The square root of 85693345 is about 9257.0700008156. The cubic root of 85693345 is about 440.8752292955.

The spelling of 85693345 in words is "eighty-five million, six hundred ninety-three thousand, three hundred forty-five".